高等數(shù)學(xué)第十二章常微分方程習(xí)題-資料下載頁(yè)
2025-01-08 13:24本頁(yè)面
【正文】 )( dcba后定出系數(shù)代入方程 1., 810081 ???? dcba)s i n(s i n* xxxxxy 21828181 ??????29 :)( 式的通解1)s i n(s i nc o s* xxxcxcyYy 21822 21 ??????.,)( 16102 21 ???? cc由.)s i n(s i n* xxxy 2182161 ???????????????????? )(,)()c o s(.20012214200 xx yyxxyy例xcxcY 22 21 s i nc o s ??)s i n(s i n* xxxxxy 21828181 ?????30 例雜假定開始下滑的鏈條自桌上無磨擦地長(zhǎng)為例 ,. M61.,)( 010 0 ?? vMt 初速度鏈條垂下部分為時(shí)?部滑過桌子問需要多長(zhǎng)時(shí)間鏈條全0X???M1.. 建立坐標(biāo)如圖解 ,)( txx ?鏈條的位移函數(shù)為., 00 00 ??? ?? tt xx則,?設(shè)鏈條的線密度為,)( gxf 1?? ?則鏈條受力.?6?m鏈條質(zhì)量,fxm ????)( 16 ???? xgx??????????????? )(,)(20016600 tt xxgxgx ,)( gxx 16 ????? ??31 ?????????????? )(,)(20016600 tt xxgxgx:)( 1先解微分方程 ,062 ?? gr 6gr ??,tgtgececX 6261 ??? ax ?*設(shè) 1??? *x11 6261 ????? ? ttg gececxXx *)( 之通解???????????060122121)()(ccgcc由2121 ??? cc16ch12121 66 ???????????? ? tgeex tgtg32 16ch ???????? tgx, 鏈條全部滑過桌子時(shí)當(dāng) 5?x., 成立此時(shí) 516ch ???????? tg,ln ?????? ???? 1666char6 2tg? ? .ln. 35689 6 ??t33 :)(. 滿足可微函數(shù)例 x?2,)()()( ? ??? xx duuuxex 0 ??.)( x?求?? ??? xxx dxuuduuxex 00 )()()(. ???解)()()()( xxxxduuex xx ???? ??????? ???? ?0??? xx duue 0 )(?)()( xex x ?? ??????????????1010 )(,)()()(???? xexx.)s i n( c o s)( xexxx ???? 21?34 ,)(. 在原點(diǎn)相切與曲線例 23 33 xxyxfy ???,)()()( xx xexftdtfxf ?????? ? 332 0且有.)( xf求)()(21,)(:)(. 001 ?f知由解 ? ?。)( 030023 ??????xxxfxx xeexfxfxf ?? ???????? 33322 )()()()(由)()()()( 3323 ??????? ? xexfxfxf x?????????????? ?,)(,)()()()()(00003323ffxexfxfxf x35 ????????????? ?)()(,)()()()()()(4000033323ffxexfxfxf x,0232 ??? rr ., 21 21 ???? rr,)( xx ececxF 221 ?? ??)()(* bxaexf x ?? ?設(shè) x ., 623 ???? ba)(*)()()( xfxFxf ??之通解3?????? ???? ??? xxeecec xxx 623 2221.,)( 664 21 ???? cc由.)( ?????? ????? ??? xxeeexf xxx 62366 22
環(huán)評(píng)公示相關(guān)推薦
鄂ICP備17016276號(hào)-1